72095232 has 160 divisors (see below), whose sum is σ = 222735744. Its totient is φ = 20480000.

The previous prime is 72095213. The next prime is 72095237. The reversal of 72095232 is 23259027.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72095232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72095237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287107 + ... + 287357.

Almost surely, 2^72095232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72095232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111367872).

72095232 is an abundant number, since it is smaller than the sum of its proper divisors (150640512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72095232 is a wasteful number, since it uses less digits than its factorization.

72095232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 72095232 is about 8490.8911193113. The cubic root of 72095232 is about 416.2001009723.

It can be divided in two parts, 72095 and 232, that added together give a palindrome (72327).

The spelling of 72095232 in words is "seventy-two million, ninety-five thousand, two hundred thirty-two".